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Finding the Fourth Proportional to 12,970.70, 17,901.24 and 7,933.94

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Solution

The fourth proportional to 12,970.70, 17,901.24 and 7,933.94 is: 10,949.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970.70 : 17,901.24 = 7,933.94 : x
  2. Step 2: Convert to fraction form
    12,970.70/17,901.24 = 7,933.94/x
  3. Step 3: Cross multiply
    12,970.70x = 17,901.24 × 7,933.94
  4. Step 4: Simplify right side
    12,970.70x = 142,027,364.09
  5. Step 5: Solve for x
    x = 142,027,364.09/12,970.70
  6. Step 6: Final answer
    x = 10,949.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.